Quadrivariate existence theorems and strong representability

Details Quadrivariate existence theorems and strong representability Quadrivariate existence theorems and strong representability

2008-09-01

arxiv.org/abs/0809.0325v2

Optimization, 60(2011), 875-891

Mathematics

Functional Analysis

17 pages. Plain TeX (TeXshop)

Scientific paper

In this paper, we give conditions under which we can compute the conjugate of a convex function on the product of two Frechet spaces defined in terms of another convex function on the product of two (possibly different) Frechet spaces. We use this result to give simple proofs of some (both old and new) results for Banach spaces, and deduce some (both old and new) stability results for strongly representable multifunctions. We take as our starting point a result on closed convex cones in the product of two Frechet spaces.

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